Convergence of a conditional gradient algorithm for relaxed controls involving first boundary value problems of parabolic type

In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by...

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Veröffentlicht in:Numerical functional analysis and optimization Jg. 6; H. 4; S. 457 - 491
1. Verfasser: Teo, K. L.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Philadelphia, PA Marcel Dekker, Inc 01.01.1983
Taylor & Francis
Schlagworte:
Applied sciences
Computer science; control theory; systems
conditional gradient algorithm
Control theory. Systems
convergence
Exact sciences and technology
first boundary conditions
Optimal control
parabolic partial differential equations
relaxed control
Parabolic equation
Boundary value problem
Optimal control
Relaxed control
Algorithm
Gradient method
Distributed parameter system
Convergence
ISSN:0163-0563, 1532-2467
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Beschreibung
Zusammenfassung:In this paper, we consider a class of optimal control problems involving linear first boundary value problems of parabolic type. A conditional gradient method is used to devise a computational algorithm for solving this class of problems. The convergence property of this algorithm is investigated by using a topology arising in the study of relaxed controls.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630568308816177